Question

Samiya bought a tree 3 inches long. Each year, the tree expected to grow 5 inches. How long (How many years) it takes the tree to reach the height of 8 feet (or 96 inches)? Let \large y be number of years it takes to reach 96 inches tall;

Answer 1

19 years

Explanation:

Initial height of tree when Samiya bought the tree = 3 inches

Growth in the height of tree every year = 5 inches

Number of years =
`y`

Growth in the height of tree in
`y` years = 5 inches multiplied by number of years

Growth in the height of tree in
`y` years = 5
`y` inches

To find:

Number of years taken by the tree to be 8 ft or 96 inches.

Solution:

The equation for height of tree after
`y` years can be written as:

3 + 5
`y` which is to be compared with 96 inches.

Therefore, the equation is:

`3 + 5y = 96\\\Rightarrow 5y=93\\\Rightarrow y \approx 19`

Therefore, it will take 19 years for the tree to reach a height of 96 inches.